The properties of graphene materials in the field of optics have attracted many scholars for research.In this paper,a two layer structure model of graphene coating with Laguerre Gaussian beam incident on quartz substrate is established based on angular spectrum diffraction theory,and the transmission intensity distribution characteristics of Laguerre Gaussian beam passing through this model are also studied.The effects of changing the directional autocorrelation length of quartz substrate,the topological charge number of Laguerre Gaussian beam,and the thickness of graphene coating on the light intensity distribution of the Laguerre Gaussian beam incident model are analyzed.The experiment is set up for verification and the results are compared.The results show that the light intensity transmitted by the Laguerre Gauss beam decreases with the increase of the thickness of the graphene coating.When the length of directional autocorrelation of quartz substrate increases,the influence of rough surface on the light beam becomes larger,and the number of dark spots in the light intensity distribution increases.The results of this study can provide support for the study of optical properties of graphene materials.